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On the accuracy of finite difference schemes for beam problems in the elastic range

The finite difference method is applied to derive approximate solutions for the bending line of Euler-Bernoulli beam problems. The investigations are restricted to simple static configurations, i. e. straight beams with constant symmetrical cross-sections and constant elastic material properties. On...

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Main Authors: Davoudi, Mohammad Mahd, Öchsner, Andreas
Format: Conference or Workshop Item
Published: 2013
Subjects:
QH Natural history
TJ Mechanical engineering and machinery
Online Access:http://eprints.utm.my/id/eprint/51214/
http://dx.doi.org/10.1002/mawe.201300156
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spelling my.utm.512142017-06-12T03:59:14Z http://eprints.utm.my/id/eprint/51214/ On the accuracy of finite difference schemes for beam problems in the elastic range Davoudi, Mohammad Mahd Öchsner, Andreas QH Natural history TJ Mechanical engineering and machinery The finite difference method is applied to derive approximate solutions for the bending line of Euler-Bernoulli beam problems. The investigations are restricted to simple static configurations, i. e. straight beams with constant symmetrical cross-sections and constant elastic material properties. Only finite difference schemes of second-order accuracy are considered and special emphasis is given to the implementation of the boundary conditions. Based on comparisons with the exact solutions, clear recommendations can be given on the required number of nodes to obtain a certain accuracy in the numerical approach. 2013-05-13 Conference or Workshop Item PeerReviewed Davoudi, Mohammad Mahd and Öchsner, Andreas (2013) On the accuracy of finite difference schemes for beam problems in the elastic range. In: Materialwissenschaft und Werkstofftechnik. http://dx.doi.org/10.1002/mawe.201300156
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QH Natural history
TJ Mechanical engineering and machinery
spellingShingle QH Natural history
TJ Mechanical engineering and machinery
Davoudi, Mohammad Mahd
Öchsner, Andreas
On the accuracy of finite difference schemes for beam problems in the elastic range
description The finite difference method is applied to derive approximate solutions for the bending line of Euler-Bernoulli beam problems. The investigations are restricted to simple static configurations, i. e. straight beams with constant symmetrical cross-sections and constant elastic material properties. Only finite difference schemes of second-order accuracy are considered and special emphasis is given to the implementation of the boundary conditions. Based on comparisons with the exact solutions, clear recommendations can be given on the required number of nodes to obtain a certain accuracy in the numerical approach.
format Conference or Workshop Item
author Davoudi, Mohammad Mahd
Öchsner, Andreas
author_facet Davoudi, Mohammad Mahd
Öchsner, Andreas
author_sort Davoudi, Mohammad Mahd
title On the accuracy of finite difference schemes for beam problems in the elastic range
title_short On the accuracy of finite difference schemes for beam problems in the elastic range
title_full On the accuracy of finite difference schemes for beam problems in the elastic range
title_fullStr On the accuracy of finite difference schemes for beam problems in the elastic range
title_full_unstemmed On the accuracy of finite difference schemes for beam problems in the elastic range
title_sort on the accuracy of finite difference schemes for beam problems in the elastic range
publishDate 2013
url http://eprints.utm.my/id/eprint/51214/
http://dx.doi.org/10.1002/mawe.201300156
_version_ 1643652974124204032
score 13.160551

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